cdfnor {lmomco} | R Documentation

## Cumulative Distribution Function of the Normal Distribution

### Description

This function computes the cumulative probability or nonexceedance probability of the Normal distribution given parameters of the distribution computed by `parnor`. The cumulative distribution function of the distribution is

F(x) = Phi(x-μ/σ) mbox{,}

where F(x) is the nonexceedance probability for quantile x, μ is the arithmetic mean, and σ is the standard deviation, and Phi is the cumulative distribution function of the standard normal distribution. The R-function `pnorm` is used.

### Usage

    cdfnor(x, para)

### Arguments

`x` | A real value.
`para` | The parameters from `parnor` or similar.

### Value

Nonexceedance probability (F) for x.

### Author(s)

W.H. Asquith

### References

Hosking, J.R.M., 1990, L-moments—Analysis and estimation of distributions using linear combinations of order statistics: Journal of the Royal Statistical Society, Series B, vol. 52, p. 105–124.

Hosking, J.R.M., 1996, FORTRAN routines for use with the method of L-moments: Version 3, IBM Research Report RC20525, T.J. Watson Research Center, Yorktown Heights, New York.

Hosking, J.R.M. and Wallis, J.R., 1997, Regional frequency analysis—An approach based on L-moments: Cambridge University Press.

### See Also

`quanor`, `parnor`

### Examples

      lmr <- lmom.ub(c(123,34,4,654,37,78))
      cdfnor(50,parnor(lmr))

[Package lmomco version 0.92 Index]